Question

The area of a quadrant of a circle where the circumference of circle is 176 m, is (a) 2464 m2 (b) 1232 m2 (c)- 616 m2 (d) 308 m2 ) 7 85​

Answer 1

Answer:

c 616m2

Explanation:

since circumference of circle is =176m

i.e. 2pie r= 616

so r=616/2pie

r=28 m

so area of quadrsnt of circle is =pie×r2/4

616m2

Answer 2

The area of a quadrant of a circle where the circumference of circle is 176 m, is 616  m²

Given:

• Circumference of circle = 176 m

To Find:

• Area of a quadrant of the circle

Solution:

Concept/formula to be used:

Circumference of circle = 2 π ( Radius )

Area of Quadrant of a circle = (1/4) π ( Radius )²

Step 1:

Use formula for circumference of circle and substitute circumference = 176 m to find radius (R) of the circle and use π = 22/7

2 π R = 176

=> 2 x (22/7) x R = 176

=> R = 28  m

Step 2:

Use formula for Area (A) of Quadrant of a circle and substitute Radius (R)  = 28 m  and use π = 22/7

A = (1/4) π R²

=> A = (1/4) (22/7) (28)²

=> A = 616  m²

Correct option is c) 616  m²

The area of a quadrant of a circle where the circumference of circle is 176 m, is 616  m²

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